Search a number
-
+
56144424 = 23371791867
BaseRepresentation
bin1101011000101…
…1001000101000
310220122102200010
43112023020220
5103333110144
65323211520
71251135240
oct326131050
9126572603
1056144424
1129768156
1216976ba0
13b82a06b
147656b20
154de05b9
hex358b228

56144424 has 64 divisors (see below), whose sum is σ = 161395200. Its totient is φ = 15943104.

The previous prime is 56144399. The next prime is 56144447. The reversal of 56144424 is 42444165.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56144391 and 56144400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29139 + ... + 31005.

It is an arithmetic number, because the mean of its divisors is an integer number (2521800).

Almost surely, 256144424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80697600).

56144424 is an abundant number, since it is smaller than the sum of its proper divisors (105250776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56144424 is a wasteful number, since it uses less digits than its factorization.

56144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 56144424 is about 7492.9582942920. The cubic root of 56144424 is about 382.9148508521.

Adding to 56144424 its reverse (42444165), we get a palindrome (98588589).

The spelling of 56144424 in words is "fifty-six million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 1867 2148 2506 3734 3759 4296 5012 5601 7468 7518 10024 11202 13069 14936 15036 22404 26138 30072 39207 44808 52276 78414 104552 156828 313656 334193 668386 1002579 1336772 2005158 2339351 2673544 4010316 4678702 7018053 8020632 9357404 14036106 18714808 28072212 56144424